Then perhaps a more adversarial approach.
Let's make software that generates content that to the big-media-bots looks like their copyrighted content, but to a human arbiter looks like anything but. This can be done automatically, by continuously gauging the response of the bots to variations in our generated content, and adjusting accordingly.
We'll spray this content all over, using throw-away accounts. Then dispute all the claims. Could we increase the volume of all claims n-fold this way? If so, at some point this would have to affect the trustworthiness of these bots with Google.
I refuse to accept that there is no way to fight back. If we could abuse the system in some way as to make this a problem for Google, I believe change can be achieved.